Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) determines the direction of the parabola when graphed.

Tags

CCSS.HSF-IF.C.7A

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.

Tags

CCSS.6.EE.A.2B

Front

What is the process of factoring a trinomial when a=1?

Back

When a=1, look for two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

Factor the trinomial: x^2 - 7x + 10

Back

(x - 2)(x - 5)

Front

What is a prime polynomial?

Back

A prime polynomial is one that cannot be factored into simpler polynomials with integer coefficients.

Front

Factor the trinomial: x^2 + 4x + 4

Back

(x + 2)(x + 2) or (x + 2)^2